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Each of these questions has a problem and two statements, number I and II. Decide if the information given in the statement is sufficient for answering the problem. Mark the answer as

Question 117

What is the ratio of men to women rolled in a certain class?
I. The number of women enrolled in the class is 3 less than half the number of men enrolled.
II. The number of women enrolled in the class is $$\frac{2}{5}$$ of the number of men enrolled.

Solution

Let number of men and women enrolled be $$m$$ and $$w$$ respectively.

Statement I : $$w+3=\frac{m}{2}$$

=> $$m=2w+6$$

Since, we cannot find $$m:w$$, thus, statement I alone is insufficient.

Statement II : $$w=\frac{2}{5}\times m$$

=> $$\frac{m}{w}=\frac{5}{2}$$

Thus, statement II alone is sufficient to find the required ratio.

=> Ans - (B)

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